Search a number
-
+
14534500200 = 233521117281461
BaseRepresentation
bin11011000100101001…
…01101111101101000
31101111221020010000020
431202110231331220
5214231313001300
610402124440440
71023115133103
oct154224557550
941457203006
1014534500200
11618938a140
1229976a9120
1314a828339c
149bc48d73a
155a10138a0
hex36252df68

14534500200 has 384 divisors, whose sum is σ = 52342899840. Its totient is φ = 3297280000.

The previous prime is 14534500159. The next prime is 14534500229. The reversal of 14534500200 is 200543541.

It is a super-2 number, since 2×145345002002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31527970 + ... + 31528430.

It is an arithmetic number, because the mean of its divisors is an integer number (136309635).

Almost surely, 214534500200 is an apocalyptic number.

14534500200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14534500200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26171449920).

14534500200 is an abundant number, since it is smaller than the sum of its proper divisors (37808399640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14534500200 is a wasteful number, since it uses less digits than its factorization.

14534500200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 14534500200 in words is "fourteen billion, five hundred thirty-four million, five hundred thousand, two hundred".